Structural basis of multistationary quantum systems. II. Effective few-particle dynamics
Abstract
The mutual coupling of electronic multistationary quantum systems realized, e.g., by semiconductor quantum dots is discussed. For local charge-transfer states such coupling can approximately be described in terms of dipole-dipole interactions: the respective renormalized transition frequencies allow for optically controlled conditional switching processes. Two coupled subsystems can in this way perform all the elementary logical operations, including microscopic information transfer. The appropriate architecture for such a quasimolecular computing system is shown to be the distributed computation based on local transition rules. As a simple example a microscopic realization of a one-dimensional one-way cellular automaton with two states per cell and nearest-neighbor coupling is discussed.
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
Cites
A Mathematical Theory of Communication
Shannon, C. E. (1948) · Bell System Technical Journal · doi:10.1002/j.1538-7305.1948.tb00917.x · Cited by 49,574 · see citing works
Zwischenmolekulare Energiewanderung und Fluoreszenz
Förster, T. (1948) · Annalen der Physik · doi:10.1002/andp.19484370105 · Cited by 8,285 · see citing works
Statistical mechanics of cellular automata
Wolfram, S. (1983) · Reviews of Modern Physics · doi:10.1103/revmodphys.55.601 · Cited by 3,059 · see citing works
Universality and complexity in cellular automata
Wolfram, S. (1984) · Physica D Nonlinear Phenomena · doi:10.1016/0167-2789(84)90245-8 · Cited by 1,938 · see citing works
Winning Ways for Your Mathematical Plays.
Connelly, R., Berlekamp, E. R., Conway, J. H., & Guy, R. K. (1986) · American Mathematical Monthly · doi:10.2307/2323620 · Cited by 1,432 · see citing works
Exciton Dynamics in Molecular Crystals and Aggregates
Kenkre, V. M., & Reineker, P. (1982) · Springer tracts in modern physics · doi:10.1007/bfb0041435 · Cited by 502 · see citing works
Simulating physics with cellular automata
Vichniac, G. Y. (1984) · Physica D Nonlinear Phenomena · doi:10.1016/0167-2789(84)90253-7 · Cited by 501 · see citing works
Feinstein, A., & Fano, R. M. (1962) · Journal of the American Statistical Association · doi:10.2307/2281659 · Cited by 364 · see citing works
Ammerman (1982) · Cited by 263 · see citing works
Lassnig, R. (1985) · Physical review. B, Condensed matter · doi:10.1103/physrevb.31.8076 · Cited by 139 · see citing works
Quantenfeldtheorie des Festkörpers
Haken, H. (1973) · Vieweg+Teubner eBooks · doi:10.1007/978-3-322-96694-0 · Cited by 126 · see citing works
The molecular device computer: Point of departure for large scale cellular automata
Carter, F. L. (1984) · Physica D Nonlinear Phenomena · doi:10.1016/0167-2789(84)90260-4 · Cited by 122 · see citing works
CAM: A high-performance cellular-automaton machine
Toffoli, T. (1984) · Physica D Nonlinear Phenomena · doi:10.1016/0167-2789(84)90261-6 · Cited by 112 · see citing works
The connection machine: A computer architecture based on cellular automata
Hillis, W. D. (1984) · Physica D Nonlinear Phenomena · doi:10.1016/0167-2789(84)90263-x · Cited by 73 · see citing works
Adaptation and Self-Repair in Parallel Computing Structures
Huberman, B. A., & Hogg, T. (1984) · Physical Review Letters · doi:10.1103/physrevlett.52.1048 · Cited by 71 · see citing works
Can single-photon processes provide useful materials for frequency-domain optical storage?
Moerner, W. E., & Levenson, M. D. (1985) · Journal of the Optical Society of America B · doi:10.1364/josab.2.000915 · Cited by 61 · see citing works
Structural basis of multistationary quantum systems. I. Effective single-particle dynamics
Obermayer, K., Teich, W. G., & Mahler, G. (1988) · Physical Review B · doi:10.1103/physrevb.37.8096 · Cited by 48 · see citing works
Self-citationPropagation delays and transition times in pulse-modulated semiconductor lasers
Tucker, R. S., Wiesenfeld, J. M., Downey, P. M., & Bowers, J. E. (1986) · Applied Physics Letters · doi:10.1063/1.96810 · Cited by 38 · see citing works
Multistable quantum systems: Information processing at microscopic levels
Obermayer, K., Mahler, G., & Haken, H. (1987) · Physical Review Letters · doi:10.1103/physrevlett.58.1792 · Cited by 33 · see citing works
Self-citationReading and writing of photochemical holes using GaAlAs-diode lasers
Pokrowsky, P., Moerner, W. E., Chu, F., & Bjorklund, G. C. (1983) · Optics Letters · doi:10.1364/ol.8.000280 · Cited by 21 · see citing works
Interconnections and architecture for ensembles of microstructures
Ferry, D. K., & Porod, W. (1986) · Superlattices and Microstructures · doi:10.1016/0749-6036(86)90151-5 · Cited by 18 · see citing works
Polyene chains in molecular electronics
Roth, S. (1986) · The European Physical Journal B · doi:10.1007/bf01313685 · Cited by 10 · see citing works
Flagged first, then by citations
Cited by
Sorted by citations
Algorithms for quantum computation: discrete logarithms and factoring
Shor, P. W. (2002) · Proceedings 35th Annual Symposium on Foundations of Computer Science · doi:10.1109/sfcs.1994.365700 · Cited by 8,713 · see citing works
Polynomial-time algorithms for prime factorization and discrete logarithms on a quantum computer
Shor, P. W. (1997) · SIAM Journal on Computing · doi:10.1137/s0097539795293172 · Cited by 8,472 · see citing works
Polynomial-time algorithms for prime factorization and discrete logarithms on a quantum computer
Shor, P. W. (1999) · SIAM Review · doi:10.1137/s0036144598347011 · Cited by 3,904 · see citing works
Lloyd, S. (1996) · Science · doi:10.1126/science.273.5278.1073 · Cited by 3,088 · see citing works
Demonstration of a Fundamental Quantum Logic Gate
Monroe, C., Meekhof, D. M., King, B. E., Itano, W. M., & Wineland, D. J. (1995) · Physical Review Letters · doi:10.1103/physrevlett.75.4714 · Cited by 1,586 · see citing works
Steane, A. (1998) · Reports on Progress in Physics · doi:10.1088/0034-4885/61/2/002 · Cited by 1,391 · see citing works
Quantum computation and Shor's factoring algorithm
Ekert, A., & Jozsa, R. (1996) · Reviews of Modern Physics · doi:10.1103/revmodphys.68.733 · Cited by 1,354 · see citing works
Two-bit gates are universal for quantum computation
DiVincenzo, D. P. (1995) · Physical Review A · doi:10.1103/physreva.51.1015 · Cited by 1,069 · see citing works
A Potentially Realizable Quantum Computer
Lloyd, S. (1993) · Science · doi:10.1126/science.261.5128.1569 · Cited by 649 · see citing works
From quantum cellular automata to quantum lattice gases
Meyer, D. A. (1996) · Journal of Statistical Physics · doi:10.1007/bf02199356 · Cited by 556 · see citing works
Realizable Universal Quantum Logic Gates
Sleator, T., & Weinfurter, H. (1995) · Physical Review Letters · doi:10.1103/physrevlett.74.4087 · Cited by 515 · see citing works
From Quantum Cellular Automata To Quantum Lattice GasesPreprint
Meyer, D., Qca, F., David, Q., & Meyer, A. (1996) · Cited by 502 · see citing works
Quantum computation and quantum information
Nagy, M., & Akl, S. G. (2005) · International Journal of Parallel Emergent and Distributed Systems · doi:10.1080/17445760500355678 · Cited by 320 · see citing works
Quantum dots: few-body, low-dimensional systems
Johnson, N. F. (1995) · Journal of Physics Condensed Matter · doi:10.1088/0953-8984/7/6/005 · Cited by 227 · see citing works
Entangled Bell and Greenberger-Horne-Zeilinger States of Excitons in Coupled Quantum Dots
Quiroga, L., & Johnson, N. F. (1999) · Physical Review Letters · doi:10.1103/physrevlett.83.2270 · Cited by 186 · see citing works
Landauer, R. (1995) · Philosophical Transactions of the Royal Society of London. Series A: Physical and Engineering Sciences · doi:10.1098/rsta.1995.0106 · Cited by 124 · see citing works
Supercomputing with spin-polarized single electrons in a quantum coupled architecture
Bandyopadhyay, S., Das, B., & Miller, A. E. (1994) · Nanotechnology · doi:10.1088/0957-4484/5/2/007 · Cited by 116 · see citing works
Maezawa, K., Akeyoshi, T., & Mizutani, T. (1994) · IEEE Transactions on Electron Devices · doi:10.1109/16.277386 · Cited by 112 · see citing works
Quantum information processing: cryptography, computation, and teleportation
Spiller, T. P. (1996) · Proceedings of the IEEE · doi:10.1109/5.546399 · Cited by 78 · see citing works
Landauer, R. W. (1995) · Springer eBooks · doi:10.1007/978-94-011-0041-0_33 · Cited by 74 · see citing works
Proposed test for temporal Bell inequalities
Paz, J. P., & Günter Mahler, A. (1993) · Physical Review Letters · doi:10.1103/physrevlett.71.3235 · Cited by 68 · see citing works
Cellular automata for nanometer-scale computation
Biafore, M. (1994) · Physica D Nonlinear Phenomena · doi:10.1016/0167-2789(94)90075-2 · Cited by 56 · see citing works
Regular Languages Accepted by Quantum Automata
Bertoni, A., & Carpentieri, M. (2001) · Information and Computation · doi:10.1006/inco.2000.2911 · Cited by 53 · see citing works
Optically driven quantum networks: Applications in molecular electronics
Körner, H., & Mahler, G. (1993) · Physical review. B, Condensed matter · doi:10.1103/physrevb.48.2335 · Cited by 53 · see citing works
Self-citationStructural basis of multistationary quantum systems. I. Effective single-particle dynamics
Obermayer, K., Teich, W. G., & Mahler, G. (1988) · Physical Review B · doi:10.1103/physrevb.37.8096 · Cited by 48 · see citing works
Self-citationBandyopadhyay, S. B. S., & Roychowdhury, V. (1996) · Japanese Journal of Applied Physics · doi:10.1143/jjap.35.3350 · Cited by 47 · see citing works
Analogies and differences between quantum and stochastic automata
Bertoni, A., & Carpentieri, M. (2001) · Theoretical Computer Science · doi:10.1016/s0304-3975(00)00154-7 · Cited by 42 · see citing works
Entangled electronic states in multiple-quantum-dot systems
Benjamin, S. C., & Johnson, N. F. (1995) · Physical review. B, Condensed matter · doi:10.1103/physrevb.51.14733 · Cited by 30 · see citing works
Nomoto, K., Ugajin, R., Suzuki, T., & Hase, I. (1996) · Journal of Applied Physics · doi:10.1063/1.360943 · Cited by 30 · see citing works
Electron correlations in coupled quantum dots
Ugajin, R., Suzuki, T., Nomoto, K., & Hase, I. (1994) · Journal of Applied Physics · doi:10.1063/1.357821 · Cited by 24 · see citing works
Annealing method for operating quantum-cellular-automaton systems
Akazawa, M., Amemiya, Y., & Shibata, N. (1997) · Journal of Applied Physics · doi:10.1063/1.366322 · Cited by 17 · see citing works
Temporal Bell Inequalities: A Journey to the Limits of “Consistent Histories”
Günter Mahler, A. (1994) · Springer series in synergetics · doi:10.1007/978-3-642-48647-0_11 · Cited by 16 · see citing works
Dynamic Dipole–Dipole Interactions Between Excitons in Quantum Dots of Different Sizes
Matsueda, H., Leósson, K., Xu, Z., Hvam, J. M., Ducommun, Y., Hartmann, A., & Kapon, E. (2004) · IEEE Transactions on Nanotechnology · doi:10.1109/tnano.2004.828559 · Cited by 14 · see citing works
Cellular structures for computation in the quantum regime
Benjamin, S. C., & Johnson, N. F. (1999) · Physical Review A · doi:10.1103/physreva.60.4334 · Cited by 14 · see citing works
Alternative Computational Models: A Comparison of Biomolecular and Quantum Computation
Reif, J. H. (1998) · Lecture notes in computer science · doi:10.1007/978-3-540-49382-2_10 · Cited by 12 · see citing works
Error correction for a spin quantum computer
Berman, G. P., Campbell, D. K., & Tsifrinovich, V. I. (1997) · Physical review. B, Condensed matter · doi:10.1103/physrevb.55.5929 · Cited by 11 · see citing works
On the simulation of quantum turing machines
Carpentieri, M. (2003) · Theoretical Computer Science · doi:10.1016/s0304-3975(03)00054-9 · Cited by 7 · see citing works
(1994) · Advances in electronics and electron physics · doi:10.1016/s0065-2539(08)60074-8 · Cited by 7 · see citing works
Optically controlled multistability in nanostructured semiconductors
Teich, W. G., & Mahler, G. (1989) · Physica Scripta · doi:10.1088/0031-8949/40/5/019 · Cited by 6 · see citing works
Self-citationInformation Processing with Electron Spins
Bandyopadhyay, S. (2012) · ISRN Materials Science · doi:10.5402/2012/697056 · Cited by 5 · see citing works
Cahay, M. M., & Bandyopadhyay, S. (1993) · IEEE Potentials · doi:10.1109/45.207169 · Cited by 5 · see citing works
Stochastic dynamics and quantum measurement
Keller, M., & Günter Mahler, A. (1996) · Quantum and Semiclassical Optics Journal of the European Optical Society Part B · doi:10.1088/1355-5111/8/1/016 · Cited by 4 · see citing works
Dynamics of a quantum control-not gate for an ensemble of four-spin molecules at room temperature
Berman, G. P., Doolen, G. D., López, G. V., & Tsifrinovich, V. I. (1998) · Physical review. B, Condensed matter · doi:10.1103/physrevb.58.11570 · Cited by 4 · see citing works
Quantum Cellular Automata: Theory and Applications
Delgado, P., & António, C. A. C. (2007) · Kent Academic Repository (University of Kent) · Cited by 4 · see citing works
On a method of solving SAT efficiently using the quantum Turing machine
Mihara, T., & Nishino, T. (2002) · Workshop on Physics and Computation (PhysComp) · doi:10.1109/phycmp.1994.363683 · Cited by 3 · see citing works
Informationsübertragung und Informationsverarbeitung in der Quantenwelt
Weinfurter, H., & Zeilinger, A. (1996) · Physikalische Blätter · doi:10.1002/phbl.19960520308 · Cited by 3 · see citing works
QDs-Cavity Approach to Controlled Quantum Teleportation of GHZ-Like State
HU, K.-X., Jin, B.-Q., & Wang, Q. (2010) · Nano Biomedicine and Engineering · doi:10.5101/nbe.v2i2.p109-116 · Cited by 2 · see citing works
Correlation between Correlations: Process and Time in Quantum Networks
Günter Mahler, A., & Kim, I. (1999) · Lecture notes in computer science · doi:10.1007/3-540-49208-9_6 · Cited by 2 · see citing works
Quantum device circuits made of trapped ions
Pahlke, K., & Mathis, W. M. (2001) · International Journal of Circuit Theory and Applications · doi:10.1002/1097-007x(200101/02)29:1 · Cited by 4 · see citing works
QDs-CAVITY APPROACH TO TELEPORTATION OF MULTIPARTITE GHZ-LIKE ENTANGLED STATE
HU, K.-X., & Jin, B.-Q. (2009) · International Journal of Quantum Information · doi:10.1142/s0219749909005237 · Cited by 1 · see citing works
Scheme for Implementing Controlled Quantum Teleportation in QDS-Cavity System
HU, K.-X., Jin, B.-Q., & Wang, Q. (2012) · International Journal of Optomechatronics · doi:10.1080/15599612.2012.683516 · Cited by 1 · see citing works
Quantum Information Science from the Perspective of a Device and Materials Engineer
Bandyopadhyay, S. (2003) · Elsevier eBooks · doi:10.1016/b978-012507060-7/50014-3 · Cited by 1 · see citing works
The implementation of Grover’s algorithm in optically driven quantum dots
Yin, W., Liang, J.-Q., & Yan, Q. (2006) · Journal of Physics Condensed Matter · doi:10.1088/0953-8984/18/43/019 · Cited by 1 · see citing works
Cooperative few-level fluctuations in coupled quantum systems
Körner, H., & Mahler, G. (1993) · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · doi:10.1103/physreve.47.3206 · Cited by 1 · see citing works
Self-citationOptical properties of quasi-molecular structures: From single atoms to quantum dots
Günter Mahler, A., Körner, H., & Teich, W. (2007) · Advances in Solid State Physics · doi:10.1007/bfb0107877
Self-citationElementary Cellular Automaton Actions in a RF-Superconducting Quantum Interference Device Network
Saitoh, K., Hioe, W., & Nishino, T. (1996) · Japanese Journal of Applied Physics · doi:10.1143/jjap.35.601
Engineering noon states in cavity QED
Aqil, M., Aarouj, Bano, F., & Saif, F. (2010) · Journal of Russian Laser Research · doi:10.1007/s10946-010-9154-2
Master equation approach to charge transfer in hierarchical systems
Mahler, G. (1990) · International Journal of Electronics · doi:10.1080/00207219008920300
Self-citationEvolutionary route to computation in self-assembled nanoarrays
Benjamin, S. C. (2008) · IEEE Congress on Evolutionary Computation (CEC) · doi:10.1109/cec.2008.4631216
Generation-Q Computing: Where Do You Want to Go Tomorrow?
Williams, C. P., & Clearwater, S. H. (2000) · Springer eBooks · doi:10.1007/978-1-4612-0495-4_9
Photodynamics of Reversible Charge Separation: A Molecular Model for a Cellular Automaton
Mahler, G. (1989) · Springer series in solid-state sciences · doi:10.1007/978-3-642-83833-0_49
Self-citationRoth, S., & Carroll, D. (2013) · doi:10.1002/9783527690176.ch9
Reif, J. H. (2009) · doi:10.1002/9780470429983.ch3
O ALGORITMO DE FATORAÇÃO DE SHOR
MARTINS, R. C. (2018) · doi:10.17771/pucrio.acad.35511
- Authors
- Teich, W. G., Obermayer, K., & Mahler, G.
- Affiliations
- University of Stuttgart (DE)
- ORCID
- Mahler, G.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 1988-05-15
- Volume
- 37
- Issue
- 14
- Pages
- 8111-8121
- ISSN
- 0163-1829 (ISSN-L)
- OpenAlex
- W2024017627
- Cited by
- 64
- References
- 23
- Citations by year
- 2018: 1 · 2013: 1 · 2012: 2
- FWCI
- 0.90
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Physical review. B, Condensed matter (publishedVersion)
- PubMed (publishedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Semiconductor Quantum Structures and Devices
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum and electron transport phenomena
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Information and Cryptography
- Keywords
- semiconductor quantum dots, dipole-dipole interaction, charge-transfer states, quantum gates, distributed computing, nearest-neighbor coupling
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review